Connect with LearnSmart for Krauskopf: The Physical Universe, 16e
16th Edition
ISBN: 9781259663895
Author: KRAUSKOPF, Konrad B.
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 4, Problem 15E
To determine
The reason for half
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Kirchoff's Laws. A circuit contains 3 known resistors, 2 known batteries, and 3 unknown currents as shown.
Assume the current flows through the circuit as shown (this is our initial guess, the actual currents may be
reverse). Use the sign convention that a potential drop is negative and a potential gain is positive.
E₂ = 8V
R₁₁ = 50
R₂ = 80
b
с
w
11
www
12
13
E₁ = 6V
R3 = 20
a) Apply Kirchoff's Loop Rule around loop abefa in the clockwise direction starting at point a. (2 pt).
b) Apply Kirchoff's Loop Rule around loop bcdeb in the clockwise direction starting at point b. (2 pt).
c) Apply Kirchoff's Junction Rule at junction b (1 pt).
d) Solve the above 3 equations for the unknown currents I1, 12, and 13 and specify the direction of the current
around each loop. (5 pts)
I1 =
A
12 =
A
13 =
A
Direction of current around loop abef
Direction of current around loop bcde
(CW or CCW)
(CW or CCW)
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4.) The diagram shows the electric field lines of a positively charged conducting sphere of
radius R and charge Q.
A
B
Points A and B are located on the same field line.
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in
moving the proton from A to B is 1.7×10-16 J. Point A is at a distance of 5.0×10-2m from the centre of
the sphere. Point B is at a distance of 1.0×10-1 m from the centre of the sphere.
(a) Explain why the electric potential decreases from A to B. [2]
(b) Draw, on the axes, the variation of electric potential V with distance r from the centre of the
sphere.
R
[2]
(c(i)) Calculate the electric potential difference between points A and B. [1]
(c(ii)) Determine the charge Q of the sphere. [2]
(d) The concept of potential is also used in the context of gravitational fields. Suggest why scientists
developed a common terminology to describe different types of fields. [1]
Chapter 4 Solutions
Connect with LearnSmart for Krauskopf: The Physical Universe, 16e
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Ch. 4 - The radiation from an object at room temperature...Ch. 4 - The earths atmosphere is primarily heated by a....Ch. 4 - Prob. 13MCCh. 4 - Prob. 14MCCh. 4 - Prob. 15MCCh. 4 - Of the following fuels, the one that gives off the...Ch. 4 - Of the following fuels, the one that gives off the...Ch. 4 - Which of the following is not a fossil fuel? a....Ch. 4 - Prob. 19MCCh. 4 - The proportion of oil used by the United States...Ch. 4 - Most oil today is used for a. transportation b....Ch. 4 - Prob. 22MCCh. 4 - Prob. 23MCCh. 4 - The least polluting of the following fuels is a....Ch. 4 - Prob. 25MCCh. 4 - Prob. 26MCCh. 4 - The worst emitters of mercury, which damages the...Ch. 4 - Prob. 28MCCh. 4 - Of the following countries, the one that obtains...Ch. 4 - The proportion of electricity generated in the...Ch. 4 - In the relatively near future, the technology most...Ch. 4 - Prob. 32MCCh. 4 - Bright sunlight might deliver energy to an area of...Ch. 4 - The output of which of the following renewable...Ch. 4 - Prob. 35MCCh. 4 - Of the following technologies, the one that may...Ch. 4 - Of the following technologies, the one farthest...Ch. 4 - Biofuels based on which of the following seem to...Ch. 4 - Of the following, the strategy for coping with...Ch. 4 - Prob. 40MCCh. 4 - Population and Prosperity 1. What are the three...Ch. 4 - Energy Supply and Consumption 2. Even if the...Ch. 4 - The average rate of energy consumption per person...Ch. 4 - List the fossil fuels in the order in which they...Ch. 4 - Explain how sunlight is responsible for these...Ch. 4 - What energy sources cannot be traced to sunlight...Ch. 4 - Approximately what proportion of the worlds...Ch. 4 - (a) Give two reasons why global warming is causing...Ch. 4 - Once the polar ice sheets have melted beyond a...Ch. 4 - The oceans as well as the atmosphere are growing...Ch. 4 - When was the last time world temperatures were as...Ch. 4 - Every body of matter radiates light. What is...Ch. 4 - What is the nature of the greenhouse effect in the...Ch. 4 - Prob. 14ECh. 4 - Prob. 15ECh. 4 - (a) Why is deforestation so important in global...Ch. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Most of the worlds oil is used as a fuel for what...Ch. 4 - Prob. 20ECh. 4 - Prob. 21ECh. 4 - What is the chief reason why the average fuel...Ch. 4 - Prob. 23ECh. 4 - Why is natural gas rarely used as a vehicle fuel?Ch. 4 - What is methane hydrate? Where is it found and why...Ch. 4 - Prob. 26ECh. 4 - Prob. 27ECh. 4 - Prob. 28ECh. 4 - Prob. 29ECh. 4 - Prob. 30ECh. 4 - What is the basic difference between nuclear...Ch. 4 - What role does uranium play in nuclear energy...Ch. 4 - How does a nuclear power plant produce...Ch. 4 - Explain why no nuclear power plants were planned...Ch. 4 - Prob. 35ECh. 4 - Prob. 36ECh. 4 - Prob. 37ECh. 4 - Prob. 38ECh. 4 - Prob. 39ECh. 4 - Give several reasons why fossil-fuel energy is...Ch. 4 - Prob. 41ECh. 4 - Prob. 42ECh. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - (a) What major advantage does geothermal energy...Ch. 4 - Prob. 46ECh. 4 - Prob. 47ECh. 4 - What are the advantages and disadvantages of...Ch. 4 - Prob. 49ECh. 4 - Prob. 50ECh. 4 - Prob. 51ECh. 4 - A major obstacle to a worldwide agreement on...Ch. 4 - Explain the cap-and-trade system for controlling...
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